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4 years ago

A "principal square root" is always...

Mathematics

1 answer:

vladimir1956 [14]4 years ago

3 0

Really none of the above.

A principal square root of a real number is a positive real number (or a positive real number times i, if you're up to complex numbers, but let's assume not.) It's not necessarily a positive integer, √2 being the obvious example.

Is √2 a positive fraction? We can write it as √2 / 1 so I suppose it is. It's certainly not a rational number. Even if we grant irrationals as fractions surely √0=0 isn't a positive fraction. So "always" isn't correct.

I'd go with none of the above, but if I had to choose I'd choose D.

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Surface area using nets

zmey [24]

Answer:

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Step-by-step explanation:

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3 years ago

Marcus sails due north and Sandra sails due east from the

garri49 [273]

Answer: The boats are 44.82 miles from each other.

Step-by-step explanation:

The direction of movement of Marcus and Sandra forms a right angle triangle.

The distance sailed by Marcus due North would represent the opposite side of the right angle triangle.

The distance sailed by Sandra due east would represent the adjacent side of the right angle triangle.

The distance, h between the both of them after 2 hours represents the hypotenuse of the right angle triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

h² = 35² + 28² = 1225 + 784

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5 0

3 years ago

5. If two angles are complementary and one angle is 40°, what is the other angle?

Strike441 [17]

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5 0

3 years ago

Read 2 more answers

Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to

Anettt [7]

Answer:

correct option is 2187

Total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by $2\pi rl$

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

$2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12$

Thus, lateral surface area for given cylinder is 1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle $\pi r^2$

$area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16$

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

= 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

= 2,185.44 square inches.

Thus, total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

but option which is closest to calculated value is 2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = $2\pi r^2 + 2\pi rl$

5 0

3 years ago

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likoan [24]

Answer:

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Step-by-step explanation:

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3 years ago

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